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Other liabilities (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Other liabilities    
Balance at beginning of the year $ 201,565 $ 138,801
Increase for the year 94,951 83,071
Payments (46,664) (15,028)
Conversion effects   (5,279)
Balance at end of the year 249,852 201,565
Aircraft and engine lease return obligation    
Other liabilities    
Balance at beginning of the year 188,879 125,546
Increase for the year 94,815 70,120
Payments (34,228) (1,914)
Conversion effects   (4,873)
Balance at end of the year 249,466 188,879
Guarantee deposit    
Other liabilities    
Balance at beginning of the year   12,532
Payments   (12,327)
Conversion effects   (205)
Employee profit sharing    
Other liabilities    
Balance at beginning of the year 12,686 723
Increase for the year 136 12,951
Payments (12,436) (787)
Conversion effects   (201)
Balance at end of the year $ 386 $ 12,686